Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1155m |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
571725 = 33 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3049200,-2049655293] |
[a1,a2,a3,a4,a6] |
j |
3135316978843283198764801/571725 |
j-invariant |
L |
1.3709901109688 |
L(r)(E,1)/r! |
Ω |
0.11424917591406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480cd5 73920n6 3465i5 5775c5 |
Quadratic twists by: -4 8 -3 5 |